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Finding the Fourth Proportional to 27.84, 38.32 and 23

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Solution

The fourth proportional to 27.84, 38.32 and 23 is: 31.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 38.32 = 23 : x
  2. Step 2: Convert to fraction form
    27.84/38.32 = 23/x
  3. Step 3: Cross multiply
    27.84x = 38.32 × 23
  4. Step 4: Simplify right side
    27.84x = 881.36
  5. Step 5: Solve for x
    x = 881.36/27.84
  6. Step 6: Final answer
    x = 31.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.